Keyframes not animating object
Your question is a bit difficult to understand, but I believe I am answering.

It being a plane should not make a difference.

It sounds like you need to add another keyframe. If I am interpreting your question correctly, you are inserting a keyframe, moving/rotating/scaling the plane, relocating the time cursor, and watching all of your transformations revert to the keyframed loc/rot/scale. You can animate by inserting that original keyframe, NEXT moving the time cursor, changing the loc/rot/scale, and finally keyframing again. The plane should now change it's loc/rot/scale between the two keyframes.